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Definition affine

Etymology

from Latin affinis (“connected with”).

Adjective

affine (comparative more affine, superlative most affine)

1. (mathematics) Assigning finite values to finite quantities.
2. (geometry) Of or pertaining to a function expressible as ${\displaystyle f({\vec {x}})=A{\vec {x}}+{\vec {b}}}$ (where ${\displaystyle A}$ is a linear transformation and ${\displaystyle {\vec {b}}}$ is a constant), which, regarded as a transformation, maps parallel lines to parallel lines and finite points to finite points.
3. (comparable, chemistry) Of two materials, having mutual affinity.